wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Parallel Perpendicular Review K

Total questions: 19

Worksheet time: 23mins

Name
Class
Date
1.

Identify which conclusions can be made from the picture?

a)

segment AB and segment CD are parallel, but segment AZ and segment FG are not parallel.

b)

segment AB and segment AZ are parallel, while segment CD and segment FG are perpendicular.

c)

segment AB and segment FG are parallel.

d)

segment AZ and CD are perpendicular.

2.

If A(-4, 8) and B(-1, 20), what is the equation written in slope-intercept form?

a)

y = -4x + 3

b)

y = -4x - 12

c)

y = 4x + 24

d)

y = 4x - 9

3.

Find the slope of a line perpendicular to: 5x + 3y = 8

a)

5/3

b)

3/5

c)

-3/5

d)

-5/3

4.

What is the counterexample for:


If two lines do not intersect, then they must be skew.

a)

no counterexample

b)

skew lines

c)

parallel lines

d)

perpendicular lines

5.

Write the inverse of:


If two lines do not intersect, then they must be skew.

a)

If they must be skew, then two lines do not intersect.

b)

If they are not skew, then two lines do intersect.

c)

If two lines do intersect, then they must not be skew.

d)

If they are parallel, then they never intersect.

6.

If you are told line j is not parallel to line k, which of the following statements would disprove this?

a)

<1 and <9 are supplementary

b)

<6 and <4 are supplementary

c)

<5 and <8 are congruent

d)

<12 and <1 are congruent

7.

What is the equation that represents the perpendicular bisector of the line shown?

a)

y = 1/2x - 3/2

b)

y = 1/2x - 1

c)

y = -2x + 4

d)

y = -2x - 3

8.

If segment AB has a slope of 4, write the equation of a line parallel to segment AB that passes through C(-1, 7.5).

a)

y = 4x + 11.5

b)

y = 4x - 1

c)

y = 4x + 7.5

d)

y = 4x - 31

9.

If segment AB has a slope of -5, write the equation for the line perpendicular to segment AB that passes through C(7, -9).

a)

y = -5x - 38

b)

y = 1/5x + 44/5

c)

y = 1/5x - 52/5

d)

y = -5x + 26

10.

m<8 = 52. What is m<10?

a)

52

b)

38

c)

128

d)

180

11.

m<8 = 52. What is m<6?

a)

38

b)

128

c)

52

d)

180

12.

m<8 = 52. What is m<7?

a)

38

b)

128

c)

180

d)

52

13.

Find the equation for the perpendicular bisector of segment MR.

a)

y = -1/5x - 1

b)

y = 1/5x + 41/5

c)

y = -1/5x + 19/5

d)

y = 1/5x + 3

14.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

y=13x+14y=-\frac{1}{3}x+14

b)

y=3x14y=3x-14

c)

y=13x10y=-\frac{1}{3}x-10

15.

If / 3= 32 and / 5 = 7x + 8, what value of x makes a || b?

a)

3

b)

4

c)

7

d)

20

16.

Given the equation of a line as 6x + 3y = – 9, what is the equation of a line parallel to this line going through

point (2, 3)?

a)

y = -2x + 7

b)

y = 2x + 7

c)

y = -1/2x + 7

d)

y = -1/2x + 7

17.

Write the equation of a line PARALLEL to that passes through the point (3, 1).  y=52x+10y=-\frac{5}{2}x+10  

a)

 y=52x + 6y=-\frac{5}{2}x\ +\ 6  

b)

 y =52x+172y\ =-\frac{5}{2}x+\frac{17}{2}  

c)

 y=25x+6y=\frac{2}{5}x+6  

d)

 y=25x+ 8y=\frac{2}{5}x+\ 8  

18.

Write the equation of a line PERPENDICULAR to  y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

 y=13x9y=\frac{1}{3}x-9 

b)

 y=13x+10y=\frac{1}{3}x+10 

c)

 y=3x+6y=-3x+6 

d)

 y=3x8y=-3x-8 

19.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)